Area Between Two Curves
Рет қаралды 1,209,988
3 жыл бұрынThis calculus video tutorial provides a basic introduction in finding the area between two curves with respect to y and with respect to x. It explains how to set up the definite integral to calculate the area of the shaded region bounded by the two curves. In order to find the points of intersection, you need to set the two curves equal to each other and solve for x or y. You need to be familiar with some basic integration techniques for this lesson. This video contains plenty of examples and practice problems.
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@TheOrganicChemistryTutor 2 жыл бұрын
Full 2 Hour Video on Patreon: www.patreon.com/MathScienceTutor Direct Link To The Full Video: bit.ly/3DGVcYy
@nelsonikechi8316 Жыл бұрын
Good
@miako-chan999 11 ай бұрын
Thx bro 😅😊
@gelina2650 2 жыл бұрын
0:14 = Area from a to b (vertical strip) 2:25 = Area from c to d (horizontal strip) Example problems: 4:20 (1) Calculate the area bounded by the region by the line y=8-2x, the x-axis, and the y-axis 9:41 (2) Calculate the area of the region bounded by the line y = x and y=x^2 13:25 (3) Calculate the area of the region bounded by the curves y = x^2 and x = y^2 19:40 (4) Calculate the area of the region bounded by the curves x=1-y^2 and x=y^2-1. 24:51 (5) Calculate the area of the region bounded by the line y = x^2-4x and the x-axis. 31:22 (6) Calculate the area of the region bounded by the equations y=x^2-4x and y = 6 - 3x. 39:35 (7) Calculate the area of the region bounded by the equations x= 3y-2
@callofdutttyyy 2 жыл бұрын
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my savior
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Maybe he's just making videos as he learns new things.
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@maramrayyan4714 3 жыл бұрын
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An hour listening to my Prof is torture
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@TanujPandya 2 жыл бұрын
I am currently studying for my calculus test and your longer videos with all these practice problems have been so helpful to review all the material! I can't thank you enough :)
@silentintegrals9104 2 жыл бұрын
awesome, hope you will pass you test. Stay curious
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@aponutsho4538 Жыл бұрын
Same here
@jayt675 2 жыл бұрын
I watch this teacher before I attend the class. It makes the world different in my understanding the concept of calculus. His explanation is better than some of my former Professors. Thank you very much for making the different in my learning.
@georgesadler7830 10 ай бұрын
Professor Organic Chemistry Tutor, thank you for a fantastic video/lecture on finding the Area Between Two Curves in Calculus Two. Graphing the function/functions is very important when finding the Areas Between two Curves in Calculus. All the examples are off the learning charts in this great video. This is an error free video/lecture on KZfaq TV with the Organic Chemistry Tutor.
@itsyourenotyour9101 3 жыл бұрын
Don't understand one thing about this. I won't ever understand one thing about this. I didn't even search for this. I still watched the whole thing.
@studyroa9045 3 жыл бұрын
it's so easy just focus ask me if you want
@aidancollins1591 2 жыл бұрын
The only reason you wouldn't be able to understand the video is if you don't know the pre-requisite concepts going in. None of the pre-requisites are difficult to understand.
@SM-qn7sr 2 жыл бұрын
First you need to know the concept of limits, then you need to know how to take the derivatives of functions, then you need to know how to do the reverse (anti derivatives), then with anti derivatives you can find integrals and that’s the only calculus part in this specific lesson
@andutimilehin3244 6 күн бұрын
I feel your pain
@SageAvalon 3 жыл бұрын
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@danieldanmola8266 6 күн бұрын
I love the way you give different examples...and love the way you explain the graph....you pay so much attentions to it ...which some tutors won't do..😊
@xianndreii25 3 жыл бұрын
Your videos are always on the right time! Thanks
@yousefsultan7325 3 жыл бұрын
Bro, you always post these videos right before my finals.
@MasiKarimi 2 жыл бұрын
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@user-nd8jg6zh4o Жыл бұрын
How did you learn so much I mean, you practically know every single topic that I need help with and your explanations are sooooooo gooood.
@thesj3117 3 жыл бұрын
Your videos are so much helpful 💗 Thank you 💗
@elfb144 5 ай бұрын
When I watch the lectures of our prof at the uni, I get hopeless and depressed depressed and then I watch a 15 mins vidoe of OGT, I am a supermath at least super enough to make my homework :) He should get an award, this channel is a social project💯
@user-ox5fm4xs9e 2 жыл бұрын
thank you bro. been working on something for so long. unintentionally you answered my question
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You are a life savior. Thank you very much for those videos!
@johnkabila6617 21 күн бұрын
I am 62 and I am able to follow through the lecture easily. Thanks
@Alex-kb9qe Жыл бұрын
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@studyroa9045 3 жыл бұрын
I dont know how this happen but I needed this video and you uploaded
@ranjann1443 2 жыл бұрын
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@danielnoah7284 3 жыл бұрын
all your videos are helpful and I often prefer to watch your tutorials.
@lukebible6365 2 жыл бұрын
Yes
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@manleyrobin8910 2 жыл бұрын
You make difficult things more understandable and simple things more simpler. I prefer to watch your videos in every lesson and even encourage my classmates to watch your videos.Good job always, your friend from Papua New Guinea
@tigipilled 2 жыл бұрын
Literally the only thing that has explained to me how these problems actually relate to the shape
@icebeeranger8373 Жыл бұрын
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@langfordnakununkhe9126 3 жыл бұрын
I like your videos, they are so helpful
@briannalove3501 3 жыл бұрын
Helpful as always :)
@jasmineungab1966 3 жыл бұрын
tomorrow's my test and u just posted this yesterday. thank you!
@brechttanghe9769 Жыл бұрын
For number 4 at 17:40 Once you know the shape of the curve of x=1-y^2, you can just rotate it 90° and calculate the area of y=1-x^2 from -1 to 1, after that multiply it by 2 (because x=y^2-1 is mirroring x=1-y^2) and you get the same answer, just alot faster if you're used to x-curve calculations. It's quicker, better if your exam is time bound.
@leshleypile6499 3 жыл бұрын
ty for your info Sir! much needed help
@sasumary9439 2 жыл бұрын
Your videos are always helpful
@KrishnaPriyaBheemavarapu 9 ай бұрын
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@namithakadiveti 10 ай бұрын
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@markgesaka8836 Жыл бұрын
This teacher can replace the whole Department of Computing and Mathematics😂😂😂😂He's toooo SMART!!!!!!
@ahola9338 Жыл бұрын
What area are you solving for if you subtract the grater function from the lower function? Or in the y-axis, the righter function from the lefter function?
@jeremiahmose3845 3 жыл бұрын
Thanks so much...I owe you my degree🔥
@njelekaharriet6107 Жыл бұрын
I don't know how I can show my gratitude to u,any way u are blessed bro and always remember to be grateful for the gift which GOD gave you.
@evelinapascaru8934 Жыл бұрын
this was an amazing lesson! Thank you!!
@Jimmy-rg1vd Жыл бұрын
He is always amazing in all topic in chemistry, biology, physics and math.
@stevenkazze1207 Жыл бұрын
Hey, thanks a lot for the videos and explanations. I got a doubt, as in the 5th exercise. By convention and notation, this area falls under the x-axis. Must the result be expressed as a negative number, supposing that's "the area above the graph"?
@johnan3398 3 жыл бұрын
There needs to be a way to have this guy as my teacher
@voodooblue6162 3 жыл бұрын
You are already his student. Just look how many people give up on their professors and come here to watch his content instead and end up learning more effectively.
@theophiluskgopatheophilus3681 3 жыл бұрын
Ur an incredible teacher
@Sajokila_Rapper 3 жыл бұрын
You are best teaching
@ikapika Жыл бұрын
coming to his channel after every calculus 2 lecture to try and understand what in the fuck im doing
@abigailmartin26 3 жыл бұрын
i have finals this week, time to binge watch all of your calc videos...lol
@hafsaghounoune7354 3 жыл бұрын
I have a Baccalaureat examen next Tuesday :(
@abigailmartin26 3 жыл бұрын
@@hafsaghounoune7354 good luck!!!
@hafsaghounoune7354 3 жыл бұрын
@@abigailmartin26 Thank you !
@iDuckyz 2 жыл бұрын
@@hafsaghounoune7354 lol me 2
@amirandd3658 Жыл бұрын
This video help me to calculate area under the graph
@uchennaomereji109 Жыл бұрын
My mentor ! Keep it up.
@Your_No_1_Hater Жыл бұрын
Long video but worth it
@jay-mbuhong7835 2 жыл бұрын
This dude should be given award!
@WOLF_XXX0 Жыл бұрын
thank you so much brother.
@user-zx6ws7cz9f 11 ай бұрын
Indeed we are blessed to have you.
@catshome2149 2 ай бұрын
Best. i watched a lot of videos but it was the best😭
@kaeyakdeeznuts 2 жыл бұрын
i have an exam tmr and my teacher explained this topic really badly. this saved me so much, thank you.
@farhanabdiroble6423 2 жыл бұрын
best tacher in calculus thanks
@ancharotube7658 3 жыл бұрын
Thank you for posting. This is my first comment as I joined you three days ago.
@airadaisies3390 3 жыл бұрын
I joined 2 days ago an its helped so much in such little time
@ancharotube7658 3 жыл бұрын
@@airadaisies3390 100%
@user-dn8io6rb4e 9 ай бұрын
OMG THANKS ALOT I LEARNED IT FINALLYYY!
@JBoydJBoyd 3 жыл бұрын
Thanks so much!
@electricalnoobject5011 3 жыл бұрын
I was looking for it sir... Dear sir❣️😋😍
@gatemining Жыл бұрын
Thank you so much sir♥️♥️
@MissPhilemon Жыл бұрын
I have my calculus final tomorrow !!!! The very last paper !!!! ✨🫶🏾 praying I do well ❤️
@user-lm7lv8dz8g 3 жыл бұрын
How do you always upload a video about a problem I was searching for
@studyroa9045 3 жыл бұрын
same
@ignaciobustamante3763 10 ай бұрын
very useful, thanks
@ChrisS-pz9cm 3 жыл бұрын
What program and hardware do you use to write on the computer?
@geraldaynyabyabin4289 3 жыл бұрын
Still confused which one will be the f(x) and g(x) but thank you mister this is much better than my professor's 2 hour lecture
@SB-qh6cr 3 жыл бұрын
f(x) is the top function and g(x) is the bottom function. and if the function requires left or right f(x) is the right function, while g(x) is the left one.
@jadenicoletteespina6231 2 жыл бұрын
@@SB-qh6cr this is so helpful thank you
@SM-qn7sr 2 жыл бұрын
@@SB-qh6cr I thought f(y) would be the right function and g(y) would be the left function?
@SB-qh6cr 2 жыл бұрын
@@SM-qn7sr yeah thats correct, i'm just used to thinking functions in terms of x, so i just use "x". It should be in terms of "y" tho!
@chriswilliams5291 Жыл бұрын
This video is great ty
@user-me6mv6yg1h 9 ай бұрын
THANK YOU SO MUCH.❤
@abdulfataiabdulbasitsina4558 Жыл бұрын
The most great teacher ever🎉🎉🎉🎉🎉🎉🎉🎉🎉🎉🎉🎉
@pearlemmaribatulan7808 3 жыл бұрын
Thank you
@delemordkurosaki2678 11 ай бұрын
After watching my professors videos I didn't understand a single thing. After watching this video I understood everything.
@alphasaffi9230 2 жыл бұрын
Thank you sir
@AhumuzaSimon-dq2ze 3 ай бұрын
Hello, how can I get the equation of the curve if iam given the curve from a to b on x-axis. Thanks
@thehyperbolicintegral 10 ай бұрын
I'm having trouble understanding the 7th example. Both functions are going rightwards so how do I decide f(y)? I know he said relative to shaded region but I can't understand still. Could anybody explain kindly? Also if I were to integrate with respect to x then the linear eqn would be f(x) right? So another question is whether I integrate with respect to x or y is f(x) always the same as f(y) or is this just a coincidence?
@user-qd6hh1zm5f 2 жыл бұрын
Which tools or program you use for writing ???
@cynthiamorudi464 3 жыл бұрын
You such an legend sir but its unfortune that some of us can't afford full video since we are student depending on bursary for our tuition fees and other.
@kushalkc100 Жыл бұрын
thanks mate 👍
@xx_lilvillainess_xx3145 3 ай бұрын
what do i do if it has like rotating about a line y=6 or rotating about the y-axis or rotating about the x-axis? I'm so confused and I couldn't find a video of urs that explains that far. Please help...
@nada4176 2 жыл бұрын
Thankyouu. Iam glad u are in the same planet as ours
@rexbelux 2 жыл бұрын
Why is this man the Goat?
@sepalabola-zh6hz 11 ай бұрын
Is there any way in where I can know whoch graph is on top or bottom without graphing it?
@bbycatto 3 жыл бұрын
no way! no way! we just took this lesson several days ago!
@lucaxarts136 Жыл бұрын
pls on the second example hw did we get a and b i see we used a=0& b=1
@JacksonBizimungu Жыл бұрын
appreciate you
@sachinrath219 3 ай бұрын
will the area always come positive this way, in physics the area of curve below x axis comes negative, why it is so.
@gravity_gaming_01 7 ай бұрын
how to draw the lines in the graph just by seeing the equations, before starting the maths calculations?
@kazkaz699 2 жыл бұрын
Absolute legend.
@user-dw8lv6sy2y 3 жыл бұрын
제가 흔히 봐왔던 그래프는 y가 종속변수이고 x가 독립변수인 꼴의 그래프였습니다. 공부를 함에 있어서 점점 많은 형식들이 이러한 종속변수와 독립변수의 개념이 모호해지고 그러한 적분을 수행해야할 때가 많았는데 그러한 적분방법의 기초를 이 영상을 통해 다시 상기할 수 있었습니다.
@user-bs7mv5rh1u 3 ай бұрын
How about writing in English
@marilynpalencia5275 8 ай бұрын
You’re the BEST ❤
@justturner9702 3 жыл бұрын
Hah!!! What I’ll be learning in class today
@kanizfatemaurmy5618 2 жыл бұрын
Ple solving determine the area below f(x)=3+2x-x^2 about x axis.
@elenasimon6546 2 жыл бұрын
does anyone know what to do if the problem involves three functions?
@Study-ul8vw 3 жыл бұрын
How cai i get membership and watch the full video please help anyone
@SaddamHossain-jj8xk 2 жыл бұрын
Hey! I am also an Chemist. And I love to read physics thats where your videos are helping me a lot. Shall I share one calculus problem with you ? Thank you.
@austina.c.3532 2 жыл бұрын
this comment is underated cant believe nobody got it.
@neutronzz3543 2 жыл бұрын
@@austina.c.3532 don't get it explain please
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